MHT CET 2024 Mathematics question
A ladder 5 m in length is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of 2 m /sec. how fast is the height on the wall decreasing when the foot of the ladder is 4m away from the wall ?
Answer: (D)
Solution
Let the foot be m from the wall and the top at height m, so . Differentiate with respect to time: . When ,
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